I found an answer from reference.wolfram.com

**Inequalities**—Wolfram Language Documentation

In the Wolfram Language, Reduce works not only on **equations**, but also on
**inequalities**. Manipulating ... This pair of **inequalities** reduces to a single
**inequality**.

For more information, see **Inequalities**—Wolfram Language Documentation

I found an answer from web.stanford.edu

Linear Matrix **Inequalities** in **System** and Control Theory

Contact **Problems** in Elasticity: A Study of Variational **Inequalities** and .....
dynamical **system** was the Lyapunov **inequality** (1.2), which can be **solved**
analytically.

For more information, see Linear Matrix **Inequalities** in **System** and Control Theory

I found an answer from stackoverflow.com

**How to solve** a **system of inequalities**? - Stack Overflow

Sep 16, 2009 **...** Minimizing x1 + x2 + ... where the xi satisfy linear constraints is called Linear
Programming. It's covered in some detail in Wikipedia.

For more information, see **How to solve** a **system of inequalities**? - Stack Overflow

I found an answer from theory.stanford.edu

A Complete and Practical Technique for **Solving** Linear **Inequalities** ...

the SMT-COMP '08 when **solving** linear **inequalities** over integers. 1 Introduction.
A quantifier-free **system** of linear **inequalities** over integers is defined by Ax ≤ ...

For more information, see A Complete and Practical Technique for **Solving** Linear **Inequalities** ...

I found an answer from mathematica.stackexchange.com

algebra - **Solving** a **system of inequalities** - Mathematica Stack ...

There is no solution of the **system** under consideration. Even Reduce[{2 b + d <=
2 c + h, 2 e <= 2 b + a, e + b + d <= 2 c + h, 2 e + d <= a + h + 2 ...

For more information, see algebra - **Solving** a **system of inequalities** - Mathematica Stack ...

I found an answer from inequality.stanford.edu

20 Facts About U.S. **Inequality** that Everyone Should Know ...

Over the last 30 years, wage **inequality** in the United States has increased
substantially, with the overall level of **inequality** now approaching the extreme
level ...

For more information, see 20 Facts About U.S. **Inequality** that Everyone Should Know ...

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Lecture 15 Linear matrix **inequalities** and the S-procedure

Pz proves the RMS gain of the **system** ˙x = Ax + Bu, y = Cx is no more than γ. (in
fact we can **solve** this LMI by **solving** an ARE-like equation, so we don't.

For more information, see Lecture 15 Linear matrix **inequalities** and the S-procedure

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Control **system** analysis and synthesis via linear matrix **inequalities**

A wide variety of **problems** in **systems** and control theory can be cast or recast as
convex **problems** that involve linear matrix **inequalities** (LMIs). For a few very ...

For more information, see Control **system** analysis and synthesis via linear matrix **inequalities**

I found an answer from en.wikipedia.org

**Inequality** (mathematics) - Wikipedia

In mathematics, an **inequality** is a relation that holds between two values when
they are .... When **solving inequalities** using chained notation, it is possible and
..... Firstly, any **system** of polynomial **inequalities** can be reduced to a **system** of ...

For more information, see **Inequality** (mathematics) - Wikipedia

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**Solving System of Inequalities** Relatively - Mathematica Stack ...

Nov 21, 2013 **...** Try for example: FindInstance[{b > r, p > r, c - 1 == p, c < x, h > x, h < e, r < k, q > k,
l - 1 == q, l < h, k > p}, {b, r, p, c, x, h, e, k, q, l}, 15]. which gives ...

For more information, see **Solving System of Inequalities** Relatively - Mathematica Stack ...

I found an answer from stackoverflow.com

Algorithm for **solving systems** of linear **inequalities** - Stack Overflow

You could use Fourier-Motzkin elimination for **solving** the **system of inequalities**.
You will need to know basic algebra to understand the solution though.

For more information, see Algorithm for **solving systems** of linear **inequalities** - Stack Overflow

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discrete mathematics - **Solving system of inequalities** with floor ...

**Solving system of inequalities** with floor function ... Unfortunately, I have tried to
solve it even in Mathematica with the method "Reduce", but I wasn't able to ...

For more information, see discrete mathematics - **Solving system of inequalities** with floor ...

I found an answer from en.wikipedia.org

Fourier–Motzkin elimination - Wikipedia

Fourier–Motzkin elimination, also known as the FME method, is a mathematical
algorithm for eliminating variables from a **system** of linear **inequalities**. .....
Redundant constraint can be identified by **solving** a linear program as follows.
Given a ...

For more information, see Fourier–Motzkin elimination - Wikipedia

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inequality - **How to solve** the following **system of inequalities** ...

There is no upper limit for Φ , as x can be chosen arbitrarily high to fulfil the
second and the third **inequality**. The first **inequality** can be rewritten ...

For more information, see inequality - **How to solve** the following **system of inequalities** ...